← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 999 · 40 sums
TalentJR

The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

NameDateTime takenScore ___ / 40
  1. 1.What is the value of 3⁸? =
  2. 2.What is the value of (2/3)⁻²? =
  3. 3.8.7 × 10⁶ =
  4. 4.What is the value of 3³ × 3⁻²? =
  5. 5.What is the value of 2⁴ × 2⁻⁶? =
  6. 6.Write 8¹⁶ ÷ 8⁷ as a single power 8ⁿ. What is n?
  7. 7.Write 7⁴ × 7³ as a single power 7ⁿ. What is n?
  8. 8.Write 2.9 × 10⁻³ as a decimal. =
  9. 9.5.8 × 10⁵ =
  10. 10.Write 3 × 10⁻¹ as a decimal. =
  11. 11.What is the value of 2⁵? =
  12. 12.What is the value of 3⁶? =
  13. 13.What is the value of 2⁵ × 2⁻³? =
  14. 14.Write 6⁶ × 6⁴ as a single power 6ⁿ. What is n?
  15. 15.4.2 × 10⁴ =
  16. 16.Write 3,50,000 in standard form as 3.5 × 10ⁿ. What is n?
  17. 17.Write 1.2 × 10⁻⁴ as a decimal. =
  18. 18.What is the value of 5⁻¹ (as a fraction)? =
  19. 19.Write 9² × 9² as a single power 9ⁿ. What is n?
  20. 20.What is the value of 10² × 10⁻²? =
  21. 21.Write (5⁹)⁹ as a single power 5ⁿ. What is n?
  22. 22.What is the value of 10¹ × 10⁻¹? =
  23. 23.What is the value of 4⁸? =
  24. 24.Write 4.3 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 3¹⁰? =
  26. 26.What is the value of 2⁻² (as a fraction)? =
  27. 27.What is the value of 9⁴? =
  28. 28.What is the value of 3⁻⁶ (as a fraction)? =
  29. 29.What is the value of (1/2)⁻²? =
  30. 30.What is the value of 3⁷? =
  31. 31.Write 2⁷ × 2⁴ as a single power 2ⁿ. What is n?
  32. 32.8.2 × 10⁴ =
  33. 33.Write 990 in standard form as 9.9 × 10ⁿ. What is n?
  34. 34.Write 4.9 × 10⁻² as a decimal. =
  35. 35.What is the value of 9³? =
  36. 36.What is the value of (7/8)⁻²? =
  37. 37.Write 9.2 × 10⁻² as a decimal. =
  38. 38.What is the value of 2⁴ × 2⁻³? =
  39. 39.What is the value of 2⁶ × 2⁻¹? =
  40. 40.What is the value of 2² × 2⁻⁴? =

Answer key

  1. 6561
  2. 9/4
  3. 8700000
  4. 3
  5. 1/4
  6. 9
  7. 7
  8. 0.0029
  9. 580000
  10. 0.3
  11. 32
  12. 729
  13. 4
  14. 10
  15. 42000
  16. 5
  17. 0.00012
  18. 1/5
  19. 4
  20. 1
  21. 81
  22. 1
  23. 65536
  24. 0.00043
  25. 59049
  26. 1/4
  27. 6561
  28. 1/729
  29. 4
  30. 2187
  31. 11
  32. 82000
  33. 2
  34. 0.049
  35. 729
  36. 64/49
  37. 0.092
  38. 2
  39. 32
  40. 1/4

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets